Answer:
15 sqrt 2
Step-by-step explanation:
Use Pythagorean Theorem
a^2 + b^2 = c^2
15^2 + 15^2 = c^2
225 + 225 = 450
Find prime factors of the sq rt of 450
450 = 2 * 3 * 3 * 5 * 5
15 sqrt 2
Answer:
The graph where the red point has a meaning is the graph C or third graph.
Step-by-step explanation:
As we can see the first and second graphs are irrelevant and have no relation between the x axis and y axis.
In graph A, the bird feeder graph is shown where the quart is a unit for liquids and pounds is a unit for solids. Thus, the red point cannot be defined.
Similarly, in graph B, height and team numbers are not related to each other in any way, so not clear meaning can be withdrawn here,
In graph C, the relation between cost of pictures and number of pictures are shown. We can very well understand here, that as the number of pictures increases, the cost increases.
So, the graph where the red point has a meaning is the graph C or third graph.
When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89
Well
Simplified would be: 642.58213482
642.58213482 = 642.58 = $642.58
Answer: <span>
642.58
Hope this helps!
</span>
Answer:
Range: 22
Median: 79
Mode: 80
Step-by-step explanation:
I hope this helped and have a nice day! Also can I have brainliest?